Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-10-30
Class.Quant.Grav. 18 (2001) 95-120
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 11 figures
Scientific paper
10.1088/0264-9381/18/1/307
We present the canonical and quantum cosmological investigation of a spatially flat, four-dimensional Friedmann-Robertson-Walker (FRW) model that is derived from the M-theory effective action obtained originally by Billyard, Coley, Lidsey and Nilsson (BCLN). The analysis makes use of two sets of canonical variables, the Shanmugadhasan gauge invariant canonical variables and the ``hybrid'' variables which diagonalise the Hamiltonian. We find the observables and discuss in detail the phase space of the classical theory. In particular, a region of the phase space exists that describes a four-dimensional FRW spacetime first contracting from a strong coupling regime and then expanding to a weak coupling regime, while the internal space ever contracts. We find the quantum solutions of the model and obtain the positive norm Hilbert space of states. Finally, the correspondence between wave functions and classical solutions is outlined.
Cavaglia' Marco
Vargas Moniz Paulo
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